T Tamizh Chelvam, C Rajian

Generalized Inverses and Products of Special Classes of Matrices

Hermitian Positive Semi-definite and Range Hermitian Matrices

• Broschiertes Buch

Produktbeschreibung

Matrices play a vital role in modeling because of the rich techniques available in the domain of matrices. In this aspect, role of the inverse of a matrix is very important and is the fundamental for solution techniques. For a given matrix, the Moore-Penrose inverse is the unique matrix satisfying four fundamental matrix equations. The concept of unitary matrices for non-singular category has been extended as partial isometry to rectangular matrices, via the tool of Moore-Penrose inverses. This beginning has subsequently extended the concept of partial isometry to star-dagger matrices, which coincides with normal matrices in the case of non-singular matrices. The class of hermitian positive semi-definite matrices is a subclass of hermitian matrices, which in turn a subclass of normal matrices. The class of normal matrices includes skew-hermitian, hermitian and unitary matrices. Also another generalization of hermitian matrices is the range-hermitian matrices called the class of EP matrices.

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Seitenzahl: 100
• Erscheinungstermin: 22. Februar 2011
• Englisch
• Abmessung: 220mm x 150mm x 6mm
• Gewicht: 168g
• ISBN-13: 9783844308785
• ISBN-10: 3844308784
• Artikelnr.: 33099030

Autorenporträt

T.TAMIZH CHELVAM is Professor of Mathematics at Manonmaniam Sundaranar University, India. As a result of his intensive research since 1987, he has authored 55 refereed papers on Algebra & Graph Theory. I.RANI is Assistant Professor of Mathematics at Anna University of Technology Tirunelveli. She was awarded PhD(2010) in Algebraic Graph Theory.